Question

figure abcd is a dilation of figure abcd about point e with a scale factor of 1.25. u says the figures are neither similar nor congruent. is u correct? use the drop - down menus to explain your answer. click the arrows to choose an answer from each menu. u choose correct. each side length of abcd is choose the corresponding side length of abcd. each angle measure of abcd is choose the corresponding angle measure of abcd. therefore, abcd and abcd are choose similar but not congruent similar and congruent neither similar nor congruent

Explanation:

Step1: Recall dilation properties

A dilation with a scale - factor \(k
eq1\) changes the size of the figure. If \(k = 1.25
eq1\), the side - lengths of the dilated figure \(A'B'C'D'\) and the original figure \(ABCD\) are not equal. So they are not congruent.

Step2: Recall similarity properties

For a dilation, the corresponding angles of the original figure and the dilated figure are equal, and the ratios of the corresponding side - lengths are equal to the scale factor. Since the ratios of corresponding side - lengths are equal and corresponding angles are equal, the two figures are similar.

Answer:

U is not correct. Each side length of \(A'B'C'D'\) is 1.25 times the corresponding side length of \(ABCD\). Each angle measure of \(A'B'C'D'\) is equal to the corresponding angle measure of \(ABCD\). Therefore, \(A'B'C'D'\) and \(ABCD\) are similar but not congruent.